Absolute Value/Yasmeen Exact Examples: Geo./Alg. 2: Evaluate the expression, if a = -5, b=6, and c=2.8 3 |a-10|+|2a|=3|-5-10| +|2(-5)|
= 3|-15|+|-10| = 3(15)=10 = 45+10 = 55
SAT: |x+3| =5 - 3 -3 x=2
|x+3|= -5 -3 -3 x=-8 Solutions: (-8,2)
Real-Life:The statue of liberty is a gigantic sculpture located on Liberty Island in New York, United States. The height of the sculpture is 151 feet. The distance from the ground to the torch is 305 feet. What is the absolute value of the difference between 305 and 151? First: You would subtract 305 from 151 which is 154 so,the absolute value would be positive 154. Create Your Own: First Problem 1a.) |2p+6|=16 -6 -6 2p=10 / 2 ; p=5
1b.) |2(5)+6| |10+6| |16|=16
1c.) 2p+6=10 -6 -6 2p=4 / 2 ; p=2
Second Problem |-8|=8 Before starting unit 9 you have to know negative from positive and how to multiply. By the end of this unit you should know how to solve an absolute value problem. Some key pieces of new information that are presented in this unit are when you have to solve for two problems. Often people forget there can be two parts to an absolute value equation a negative and a positive side. Some challenge problems that exist for this unit are when you have to absolute value with inequalities. When you have a problem like that you have to switch the sign and turn it into a negative.
Exact Examples:
Geo./Alg. 2: Evaluate the expression, if a = -5, b=6, and c=2.8
3 |a-10|+|2a|=3|-5-10| +|2(-5)|
= 3|-15|+|-10|
= 3(15)=10
= 45+10
= 55
SAT:
|x+3| =5
- 3 -3
x=2
|x+3|= -5
-3 -3
x=-8
Solutions: (-8,2)
Real-Life:The statue of liberty is a gigantic sculpture located on Liberty Island in New York, United States. The height of the sculpture is 151 feet. The distance from the ground to the torch is 305 feet. What is the absolute value of the difference between 305 and 151?
First: You would subtract 305 from 151 which is 154 so,the absolute value would be positive 154.
Create Your Own:
First Problem
1a.)
|2p+6|=16
-6 -6
2p=10 / 2 ; p=5
1b.)
|2(5)+6|
|10+6|
|16|=16
1c.)
2p+6=10
-6 -6
2p=4 / 2 ; p=2
Second Problem
|-8|=8
Before starting unit 9 you have to know negative from positive and how to multiply. By the end of this unit you should know how to solve an absolute value problem. Some key pieces of new information that are presented in this unit are when you have to solve for two problems. Often people forget there can be two parts to an absolute value equation a negative and a positive side. Some challenge problems that exist for this unit are when you have to absolute value with inequalities. When you have a problem like that you have to switch the sign and turn it into a negative.